Question

a ball of mass 1 kg and 10kg are thrown with same velocity vertically upward from the ground. if maximum height reached by the balls are h1 and h2 respectively then

Answer 1

do u know
maximum height reached by the ball does not depend on its mass
u hv to think the ball is throwing in free space
u know the formula for a throwing ball to upward is
v^2=u^2-2gh
v=final velocity of a throwing ball
for maximum height, v=0
u=initial velocity of throwing ball
g=gravitational acceleration=9.8m/s^2
h=height reached by a throwing ball
for maximum height the equation will b
0^2=u^2-2gh
2gh=u^2
h=u^2/2g
so we can say, if the initial velocity of both ball r equal, then the maximum height of both balls will b equal
so h1=h2

Answer 2

Acceleration due to Gravity does not depends on mass.
Therefore the height h1 and h2 will be equal
Proof:
from 1st equation i.e v=u+gt
we can see that for both balls v,u and g are equal , so the time for both balls to reach maximum height h1 & h2 will be equal

Now from second equation of motion
h1 = ut + 1/2×gt^2 and
h2 = ut + 1/2×gt^2

for both the balls u,g and t are equal
therefore h1=h2.

hope it helped,
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